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Aerospace Engineering
Introduction to CFD (Video)
Syllabus
Co-ordinated by :
IIT Madras
Available from :
2015-03-30
Lec :
1
Modules / Lectures
Introduction to CFD
Introduction, Why and how we need computers
Representing Arrays and functions on computers
Representing functions - Box functions
Representing functions - Polynomials & Hat functions
Hat functions, Quadratic & Cubic representations
Demo - Hat functions, Aliasing
Representing Derivatives - finite differences
Finite differences, Laplace equation
Laplace equation - Jacobi iterations
Laplace equation - Iteration matrices
Laplace equation - convergence rate
Laplace equation - convergence rate Continued
Demo - representation error, Laplace equation
Demo - Laplace equation, SOR
Laplace equation - final, Linear Wave equation
Linear wave equation - Closed form & numerical solution, stability analysis
Generating a stable scheme & Boundary conditions
Modified equation
Effect of higher derivative terms on Wave equation
Artificial dissipation, upwinding, generating schemes
Demo - Modified equation, Wave equation
Demo - Wave equation / Heat Equation
Quasi-linear One-Dimensional. wave equation
Shock speed, stability analysis, Derive Governing equations
One-Dimensional Euler equations - Attempts to decouple
Derive Eigenvectors, Writing Programs
Applying Boundary conditions
Implicit Boundary conditions
Flux Vector Splitting, setup froms averaging
Roes averaging
Demo - One Dimensional flow
Accelerating convergence - Preconditioning, dual time stepping
Accelerating convergence, Intro to Multigrid method
Multigrid method
Multigrid method - final, Parallel Computing
Calculus of Variations - Three Lemmas and a Theorem
Calculus of Variations - Application to Laplace Equation
Calculus of Variations -final & Random Walk
Overview and Recap of the course
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